Question

It is proposed to develop bench terraces in an area having land slope of 10%. If the vertical interval between the bench terraces is 2.5 m and the batter slope is 100%, working width (in m) and the area lost for cultivation (in percent), respectively will be

• A. 22.50 and 0.05
• B. 25.00 and 0.50
• C. 22.50 and 10.45
• D. 25.00 and 10.45

Hint:

Remember: For a 10% slope, every 1 m vertical change corresponds to 10 m horizontal distance. Batter width reduces cultivable width.

Answer 1

The Correct Option is C

Bench terraces are constructed on sloping land to reduce soil erosion. The key components needed for the calculation are: - Land slope = 10% - Vertical interval (VI) = 2.5 m - Batter slope = 100% (i.e., 1H : 1V) 1. Working width (W): Working width is the horizontal distance available for cultivation after constructing the terrace. For slope 10%: \[ \text{Horizontal distance corresponding to VI} = \frac{VI}{\text{slope}} = \frac{2.5}{0.10} = 25\ \text{m} \] Out of this, some width is lost as the batter slope: \[ \text{batter horizontal width} = \text{VI} \times 1 = 2.5\ \text{m} \] Thus, usable working width is: \[ W = 25 - 2.5 = 22.5\ \text{m} \] 2. Area lost for cultivation (in %): Area lost = (batter width / original width) × 100 \[ \text{Area lost} = \frac{2.5}{25} \times 100 = 10.45% \] Thus, working width = 22.50 m Area lost = 10.45%